Question

a grocer purchased 200kg of rice at Rs 25per kg. he sold 80kg of it at a gain of 10% and 40kg at loss of 4%.at what rate per kg should he sell the reminder to gain 8%on his total investment​ ​

Answer 1

Step-by-step explanation:

Purchase cost =200×25=Rs5,000

Selling price of 80 kg rice - at 10% gain ⇒ 110% of price

⇒

100

110

×Rs25.

So money earned by selling 80 kg rice =80×

100

110

× 25=Rs2,200

Selling price of 40 kg rice at a loss of 4% ⇒ 96% of price

⇒

100

96

×Rs25

Money earned by selling 40 kg =40×

100

96

×25=Rs 960

Remaining quantity =200−40−80=80kg

Total gain required = 8% ⇒

Overall money to be earned thru sales =

100

108

× cost =

100

108

×5,000=Rs5,400

Money to be earned through sale of remaining 80 kg

=Rs5,400−Rs2,200−Rs960=Rs2,240

Selling price of the remainder rice =

80kg

Rs2,240

=Rs28/kg